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Finding the Fourth Proportional to 21,832.70, 32,727.92 and 7,031.57

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Solution

The fourth proportional to 21,832.70, 32,727.92 and 7,031.57 is: 10,540.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.70 : 32,727.92 = 7,031.57 : x
  2. Step 2: Convert to fraction form
    21,832.70/32,727.92 = 7,031.57/x
  3. Step 3: Cross multiply
    21,832.70x = 32,727.92 × 7,031.57
  4. Step 4: Simplify right side
    21,832.70x = 230,128,660.43
  5. Step 5: Solve for x
    x = 230,128,660.43/21,832.70
  6. Step 6: Final answer
    x = 10,540.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.